Stability theory of differential/algebraic models of power systems

D. J. Hill; I. A. Hiskens; I. M.Y. Mareels

doi:10.1007/BF03024222

Stability theory of differential/algebraic models of power systems

D. J. Hill
, I. A. Hiskens
, I. M.Y. Mareels

Research output: Contribution to journal › Article › Research › peer-review

15 Citations (Scopus)

Abstract

Lyapunov stability results are given for differential/algebraic models of power systems which include the effect of generator damping and nonlinear loads. The global dynamical structure of such a system is studied in terms of multivalued energy functions defined on so-called 'voltage causal regions' where voltage behaviour is predicted from angle behaviour. These regions are separated by 'impasse surfaces' related to singularity in the load flow equations.

Original language	English
Pages (from-to)	731-747
Number of pages	17
Journal	Sadhana - Academy Proceedings in Engineering Sciences
Volume	18
Issue number	5
DOIs	https://doi.org/10.1007/BF03024222
Publication status	Published - Sept 1993
Externally published	Yes

Keywords

Lyapunov methods
nonlinear systems
Power systems
stability

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10.1007/BF03024222

Cite this

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title = "Stability theory of differential/algebraic models of power systems",

abstract = "Lyapunov stability results are given for differential/algebraic models of power systems which include the effect of generator damping and nonlinear loads. The global dynamical structure of such a system is studied in terms of multivalued energy functions defined on so-called 'voltage causal regions' where voltage behaviour is predicted from angle behaviour. These regions are separated by 'impasse surfaces' related to singularity in the load flow equations.",

keywords = "Lyapunov methods, nonlinear systems, Power systems, stability",

author = "Hill, \{D. J.\} and Hiskens, \{I. A.\} and Mareels, \{I. M.Y.\}",

year = "1993",

month = sep,

doi = "10.1007/BF03024222",

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journal = "Sadhana - Academy Proceedings in Engineering Sciences",

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AU - Hill, D. J.

AU - Hiskens, I. A.

AU - Mareels, I. M.Y.

PY - 1993/9

Y1 - 1993/9

N2 - Lyapunov stability results are given for differential/algebraic models of power systems which include the effect of generator damping and nonlinear loads. The global dynamical structure of such a system is studied in terms of multivalued energy functions defined on so-called 'voltage causal regions' where voltage behaviour is predicted from angle behaviour. These regions are separated by 'impasse surfaces' related to singularity in the load flow equations.

AB - Lyapunov stability results are given for differential/algebraic models of power systems which include the effect of generator damping and nonlinear loads. The global dynamical structure of such a system is studied in terms of multivalued energy functions defined on so-called 'voltage causal regions' where voltage behaviour is predicted from angle behaviour. These regions are separated by 'impasse surfaces' related to singularity in the load flow equations.

KW - Lyapunov methods

KW - nonlinear systems

KW - Power systems

KW - stability

UR - https://www.scopus.com/pages/publications/0009627108

U2 - 10.1007/BF03024222

DO - 10.1007/BF03024222

M3 - Article

AN - SCOPUS:0009627108

SN - 0256-2499

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SP - 731

EP - 747

JO - Sadhana - Academy Proceedings in Engineering Sciences

JF - Sadhana - Academy Proceedings in Engineering Sciences

IS - 5

ER -

Stability theory of differential/algebraic models of power systems

Abstract

Keywords

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